Question

Rozłóż na czynniki.

1. Metodą grupowania.

a) w(x) = x³ - 2x² + x - 2

b) w(x) = x³ + 6x² - x - 6

c) w(x) = x³ + 4x² - 2x - 8

d) w(x) = x³ - 2x² + 3x - 6

e) w(x) = 3x³ - x² + 9x - 3

2. Wyłącz przed nawias.

a) w(x) = x³ + 6x² + 9x

b) w(x) = x⁵ - 10x⁴ + 25x³
c) w(x) = x⁴ + 5x³ - 6x²

d) w(x) = x³ - 3x² + 2x

e) w(x) = -3x⁴ - 2x³ + x²

Answer 1

Zadanie 2:

a)W(x)=x(+6x+9)

b)W(x)=(-10x+25)

c)W(x)=(+5x-6)

d)W(x)=x(-3x=2)

e)W(x)=(-3-2x+1)

Answer 2

1. Metodą grupowania.

a) w(x) = x³-2x²+x-2

w(x) = (x³-2x²)+(x-2)

w(x) = x²(x-2)+(x-2)

w(x) = (x-2)(x²+1)

b) w(x) = x³+6x²-x-6

w(x) = (x³+6x²)-(x+6)

w(x) = x²(x+6)-(x+6)

w(x) = (x+6)(x²-1)

w(x) = (x+6)(x-1)(x+1)

c) w(x) = x³+4x²-2x-8

w(x) = (x³+4x²)-(2x+8)

w(x) = x²(x+4)-2(x+4)

w(x) = (x+4)(x²-2)

w(x) = (x+4)(x-√2)(x+√2)

d) w(x) = x³-2x²+3x-6

w(x) = (x³-2x²)+(3x-6)

w(x) = x²(x-2)+3(x-2)

w(x) = (x-2)(x²+3)

e) w(x) = 3x³-x²+9x-3

w(x) = (3x³-x²)+(9x-3)

w(x) = x²(3x-1)+3(3x-1)

w(x) = (3x-1)(x²+3)